Nonlinear Hall effect of magnetized two-dimensional spin-32 heavy holes

We identify a sizable nonlinear Hall effect of spin-3/2 heavy holes in zincblende nanostructures, driven by a quadrupole interaction with the electric field formerly believed to be negligible. The interaction is enabled by Td-symmetry, reflects inversion breaking, and in two dimensions results in an electric-field correction to the in-plane g factor. The effect can be observed in state-of-the-art heterostructures, either via magnetic doping or by using a vector magnet, where even for small perpendicular magnetic fields it is comparable in magnitude to topological materials.